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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Maths HEP Lunchtime Seminars: World-sheet dualities for superspace sigma-models

Presented by Thomas Quella, University of Amsterdam

29 May 2009 13:00 in CM221

In my talk I will report on recent progress in understanding 2D conformally invariant sigma-models on superspaces. Such quantum field theories play a prominent role in the quantization of strings on AdS-spaces. More specifically, I will focus on supersphere sigma-models which share many of the conceptual features with string propagation on AdS backgrounds: The underlying geometry is those of a symmetric superspaces on which supersymmetry is realized as an isometry. Taking into account the radius modulus, the associated sigma-models hence give rise to a one-parameter family of supersymmetric conformal field theories. Making use of quasi-abelian perturbation theory (valid for WZW models on supergroups with vanishing dual Coxeter number) I will first derive the exact spectrum of anomalous dimensions on a certain D-branes in the Gross-Neveu models. In a second step, I will then match this spectrum with semi-classical calculations, thus providing evidence for a strong-weak coupling duality between supersphere sigma-models and Gross-Neveu models. Similar world-sheet dualities play a prominent role in Berkovits' recent approach to proving the AdS/CFT correspondence

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